Second Virial Coefficient using Reduced Second Virial Coefficient Calculator

✖The Reduced Second Virial Coefficient is the function of the second virial coefficient, critical temperature and critical pressure of the fluid.ⓘ Reduced Second Virial Coefficient [B^{^}]			+10% -10%
✖Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.ⓘ Critical Temperature [T_c]			+10% -10%
✖Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.ⓘ Critical Pressure [P_c]			+10% -10%

✖The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas.ⓘ Second Virial Coefficient using Reduced Second Virial Coefficient [B]

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Second Virial Coefficient using Reduced Second Virial Coefficient Solution

STEP 0: Pre-Calculation Summary

Formula Used

Second Virial Coefficient = (Reduced Second Virial Coefficient*[R]*Critical Temperature)/Critical Pressure
B = (B^{^}*[R]*T_c)/P_c
This formula uses 1 Constants, 4 Variables

Constants Used

[R] - Universal gas constant Value Taken As 8.31446261815324

Variables Used

Second Virial Coefficient - (Measured in Cubic Meter) - The Second Virial Coefficient describes the contribution of the pair-wise potential to the pressure of the gas.
Reduced Second Virial Coefficient - The Reduced Second Virial Coefficient is the function of the second virial coefficient, critical temperature and critical pressure of the fluid.
Critical Temperature - (Measured in Kelvin) - Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor.
Critical Pressure - (Measured in Pascal) - Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

STEP 1: Convert Input(s) to Base Unit

Reduced Second Virial Coefficient: 0.29 --> No Conversion Required
Critical Temperature: 647 Kelvin --> 647 Kelvin No Conversion Required
Critical Pressure: 33500000 Pascal --> 33500000 Pascal No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

B = (B^{^}*[R]*T_c)/P_c --> (0.29*[R]*647)/33500000

Evaluating ... ...

B = 4.65684364490774E-05

STEP 3: Convert Result to Output's Unit

4.65684364490774E-05 Cubic Meter --> No Conversion Required

FINAL ANSWER

4.65684364490774E-05 ≈ 4.7E-5 Cubic Meter <-- Second Virial Coefficient

(Calculation completed in 00.004 seconds)

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Home » Engineering » Chemical Engineering » Thermodynamics » Volumetric Properties of Pure Fluids » Equation of States » Second Virial Coefficient using Reduced Second Virial Coefficient

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Created by Shivam Sinha

National Institute Of Technology (NIT), Surathkal

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< Equation of States Calculators

Acentric Factor using Pitzer Correlations for Compressibility Factor

LaTeX Go Acentric Factor = (Compressibility Factor-Pitzer Correlations Coefficient Z(0))/Pitzer Correlations Coefficient Z(1)

Compressibility Factor using Pitzer Correlations for Compressibility Factor

LaTeX Go Compressibility Factor = Pitzer Correlations Coefficient Z(0)+Acentric Factor*Pitzer Correlations Coefficient Z(1)

Reduced Temperature

LaTeX Go Reduced Temperature = Temperature/Critical Temperature

Reduced Pressure

LaTeX Go Reduced Pressure = Pressure/Critical Pressure

Second Virial Coefficient using Reduced Second Virial Coefficient Formula

LaTeX Go

Second Virial Coefficient = (Reduced Second Virial Coefficient*[R]*Critical Temperature)/Critical Pressure
B = (B^{^}*[R]*T_c)/P_c

Why we use virial equation of state?

The perfect gas law is an imperfect description of a real gas, we can combine the perfect gas law and the compressibility factors of real gases to develop an equation to describe the isotherms of a real gas. This Equation is known as the Virial Equation of state, which expresses the deviation from ideality in terms of a power series in the density.
The actual behavior of fluids is often described with the virial equation:
PV = RT[1 + (B/V) + (C/(V^2)) + ...] ,
where,
B is the second virial coefficient,
C is called the third virial coefficient, etc.

in which the temperature-dependent constants for each gas are known as the virial coefficients. The second virial coefficient, B, has units of volume (L).

Why we modify the second virial coefficient to reduced second virial coefficient?

The tabular nature of the generalized compressibility-factor correlation is a disadvantage, but the complexity of the functions Z(0) and Z(1) precludes their accurate representation by simple equations. Nonetheless, we can give approximate analytical expression to these functions for a limited range of pressures. So we modify the second virial coefficient to reduced the second virial coefficient.

How to Calculate Second Virial Coefficient using Reduced Second Virial Coefficient?

Second Virial Coefficient using Reduced Second Virial Coefficient calculator uses Second Virial Coefficient = (Reduced Second Virial Coefficient*[R]*Critical Temperature)/Critical Pressure to calculate the Second Virial Coefficient, The Second Virial Coefficient using Reduced Second Virial Coefficient formula is defined as the ratio of the product of the reduced second virial coefficient, the universal gas constant and the critical temperature to the critical pressure. Second Virial Coefficient is denoted by B symbol.

How to calculate Second Virial Coefficient using Reduced Second Virial Coefficient using this online calculator? To use this online calculator for Second Virial Coefficient using Reduced Second Virial Coefficient, enter Reduced Second Virial Coefficient (B^{^}), Critical Temperature (T_c) & Critical Pressure (P_c) and hit the calculate button. Here is how the Second Virial Coefficient using Reduced Second Virial Coefficient calculation can be explained with given input values -> 7.156159 = (0.29*[R]*647)/33500000.

FAQ

What is Second Virial Coefficient using Reduced Second Virial Coefficient?

The Second Virial Coefficient using Reduced Second Virial Coefficient formula is defined as the ratio of the product of the reduced second virial coefficient, the universal gas constant and the critical temperature to the critical pressure and is represented as B = (B^{^}*[R]*T_c)/P_c or Second Virial Coefficient = (Reduced Second Virial Coefficient*[R]*Critical Temperature)/Critical Pressure. The Reduced Second Virial Coefficient is the function of the second virial coefficient, critical temperature and critical pressure of the fluid, Critical Temperature is the highest temperature at which the substance can exist as a liquid. At this phase boundaries vanish, and the substance can exist both as a liquid and vapor & Critical Pressure is the minimum pressure required to liquify a substance at the critical temperature.

How to calculate Second Virial Coefficient using Reduced Second Virial Coefficient?

The Second Virial Coefficient using Reduced Second Virial Coefficient formula is defined as the ratio of the product of the reduced second virial coefficient, the universal gas constant and the critical temperature to the critical pressure is calculated using Second Virial Coefficient = (Reduced Second Virial Coefficient*[R]*Critical Temperature)/Critical Pressure. To calculate Second Virial Coefficient using Reduced Second Virial Coefficient, you need Reduced Second Virial Coefficient (B^{^}), Critical Temperature (T_c) & Critical Pressure (P_c). With our tool, you need to enter the respective value for Reduced Second Virial Coefficient, Critical Temperature & Critical Pressure and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Second Virial Coefficient?

In this formula, Second Virial Coefficient uses Reduced Second Virial Coefficient, Critical Temperature & Critical Pressure. We can use 1 other way(s) to calculate the same, which is/are as follows -

Second Virial Coefficient = ((Compressibility Factor-1)*[R]*Temperature)/Pressure

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